Splification - Quantitative Aptitude

Q1. A boy read 3/8 th of a book on one day and 4/5 th of the remainder on another day. If there were 60 pages unread, how many pages did the book contain ?
(a) 452
(b) 466
(c) 480
(d) 495

Answer: (c) 480

Let, the total number of pages be x

1st day read = x X (3/8)

Remainder = (x - (3x/8)) = 5x/8

Read next day = (

4

X

5x

) =

x

5

8

2

A/Q (3/8)x + (x/2) + 60 = x

⇒ 3x + 4x + 480 = 8x

⇒ x = 480

Q2. In a class, there are two sections A and B. if 10 students of section B shift over to section A, the strength of A becomes three times the strength of B. But if 10 students shift over from A to B, both A and B are equal in strength. How many students are there in sections A and B ?
(a) 35, 21
(b) 39, 25
(c) 44, 29
(d) 50, 30

Answer: (d) 50, 30

Let, in section A total number of student be x and in section B total number of student be y

∴ x + 10 = 3(y - 10)

⇒ 3y - x = 40 ------- (1)

x - 10 = y + 10

x - y = 20 ------- (2)

(1) + (2) ⇒ 2y = 60 ⇒ y = 30

(2) ⇒ x = 20 + 30 = 50

∴ Answer is 50, 30

Q3. Students of a class are made to stand in rows. If 4 students are extra in each row, there would be 2 rows less. If 4 students are less in each row, there would be 4 more rows. The number of students in the class is
(a) 77
(b) 79
(c) 85
(d) 96

Answer: (d) 96

Let, the number of rows be x and the number of student be y

∴ Total number of students = xy

Now (y+4)(x-2) = xy

⇒ 4x - 2y = 8

⇒ 2x - y = 4 ------- (1)

And (y-4)(x+4) = xy

⇒ -4x + 4y = 16

-x + y = 4 ------(2)

On solving (1) and (2) we get

x = 8 y = 12

∴ Number of student in the class = 8 X 12 = 96

Q4. On the Children's Day, sweet were distributed equally among 540 children. But, on that day 120 children were absent. Hence each child got 4 more sweets. How many sweets were to be distributed to each child originally ?
(a) 12
(b) 14
(c) 16
(d) 18

Q6. A sink contains exactly 12 liters of water. If water is drained from the sink until it holds 6 liters of water less than the quantity drained away, then how many liters of water were drained away ?
(a) 9 liters
(b) 11 liters
(c) 13 liters
(d) 16 liters

Answer: (a) 9 liters

Let x liters of water drained away

∴ (12 - x) = (x - 6)

⇒ 2x = 18

⇒ x = 9 liters

Q7. A total of 324 coins of 20 paise and 25 paise make a sum of Rs. 65. The number of 25 paise coins is
(a) 4
(b) 12
(c) 17
(d) 23

Answer: (a) 4

Let, No. of 25 paise coins be x

∴ No of 20 paise coins be (324 - x)

A/Q

25

x +

20

(324-x) = 65

100

100

⇒

x

+

324 - x

= 65

4

5

⇒ 5x + 1296 - 4x = 65 X 20

⇒ x = 1300 - 1296

⇒ x = 4

Q8. How many digits are required for numbering the pages of a book having 200 pages ?
(a) 457
(b) 492
(c) 521
(d) 556

Q9. Hari went to a shop to buy 50 Kg of rice. He buys two varities of rice which cost him Rs. 4.50 per Kg and Rs. 5 per Kg. He spends a total of Rs. 240. What was the quantity of cheaper rice bought by him ?
(a) 17 Kg
(b) 20 Kg
(c) 23 Kg
(d) 25 Kg